Primordial black holes from effective field theory of stochastic single field inflation at NNNLO
Choudhury S. Karde A. Padiyar P. Sami M.
January 2025Springer Nature
European Physical Journal C
2025#85Issue 1
We present a study of the Effective Field Theory (EFT) generalization of stochastic inflation in a model-independent single-field framework and its impact on primordial black hole (PBH) formation. We show how the Langevin equations for the “soft” modes in quasi de Sitter background is described by the Infra-Red (IR) contributions of scalar perturbations, and the subsequent Fokker–Planck equation driving the probability distribution for the stochastic duration N, significantly modify in the present EFT picture. An explicit perturbative analysis of the distribution function by implementing the stochastic-δN formalism is performed up to the next-to-next-to-next-to-leading order (NNNLO) for both the classical-drift and quantum-diffusion dominated regimes. In the drift-dominated limit, we perturbatively analyse the local non-Gaussianity parameters (fNL,gNL,τNL) with the EFT-induced modifications. In the diffusion-dominated limit, we numerically compute the probability distribution featuring exponential tails at each order of perturbative treatment.
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Centre For Cosmology and Science Popularization (CCSP), SGT University, Gurugram, Haryana, Delhi-NCR, 122505, India
Department of Physical Sciences, Indian Institute of Science Education and Research Berhampur, Transit Campus, Government ITI, Odisha, Berhampur, 760010, India
Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
Chinese Academy of Sciences, 52 Sanlihe Rd, Xicheng District, Beijing, China
Centre For Cosmology and Science Popularization (CCSP)
Department of Physical Sciences
Center for Theoretical Physics
Chinese Academy of Sciences
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